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y\geq 30\left(-\frac{7}{6}\right)
Multiply both sides by -\frac{7}{6}, the reciprocal of -\frac{6}{7}. Since -\frac{6}{7} is negative, the inequality direction is changed.
y\geq \frac{30\left(-7\right)}{6}
Express 30\left(-\frac{7}{6}\right) as a single fraction.
y\geq \frac{-210}{6}
Multiply 30 and -7 to get -210.
y\geq -35
Divide -210 by 6 to get -35.